Question

The difference between two positive numbers is 8. Their product is 180. Find the numbers.

• A. 20, 9
• B. 28, 20
• C. 18, 10
• D. None of these

Answer 1

The correct option is C

18, 10

Let the numbers be x and x + 8

Then, their product

$x(x+8)=180$

$x^2+8x=180$

$x^2+8x+16=18016$

$(x+4{)}^2=196$

$x+4=14$

$x=10$​​​​​

$x+8=18$​​​​​​​

Therefore, two numbers whose difference is 8 and product is 180 are 18 and 10.